100830240 has 216 divisors, whose sum is σ = 400540140. Its totient is φ = 23030784.

The previous prime is 100830211. The next prime is 100830241. The reversal of 100830240 is 42038001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 90098064 + 10732176 = 9492^2 + 3276^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100830241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69846 + ... + 71274.

Almost surely, 2^100830240 is an apocalyptic number.

100830240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100830240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200270070).

100830240 is an abundant number, since it is smaller than the sum of its proper divisors (299709900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100830240 is a wasteful number, since it uses less digits than its factorization.

100830240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 100830240 is about 10041.4261935245. The cubic root of 100830240 is about 465.4398889724.

Adding to 100830240 its reverse (42038001), we get a palindrome (142868241).

The spelling of 100830240 in words is "one hundred million, eight hundred thirty thousand, two hundred forty".